The number 26940
26940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 449. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 449, 898, 1347, 1796 … 26940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26940 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 26940 itself that is 48660, so 26940 is abundant (48660 is more than 26940). Euler's totient φ(26940) = 7168 numbers up to 26940 share no factor with it.
- 4
The digits of 26940 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26940 = 2^{2} \times 3 \times 5 \times 449 \]26940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 7168 |
| Square | 725763600 |
| Cube | 19552071384000 |
| Square root | 164.134092 (= 2√6735) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.694 × |
26940 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and forty |
| Binary (base 2) | 110100100111100 |
| Octal (base 8) | 64474 |
| Hexadecimal (base 16) | 693C |
| Base 3 | 1100221210 |
| As time | 26940 seconds = 7 h 29 min 0 s |
Is 26940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26940 ÷ 2 = 13470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26940 ÷ 3 = 8980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26940 ÷ 4 = 6735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26940 ÷ 5 = 5388) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26940 ÷ 6 = 4490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26940 ÷ 10 = 2694) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26940 ÷ 12 = 2245) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26940 a prime number?
No. 26940 = × 3 × 5 × 449, so it is divisible by 2.
What are the factors of 26940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 449, 898, 1347, 1796, 2245, 2694, 4490, 5388, 6735, 8980, 13470, 26940.
What is 26940 in binary?
110100100111100 (hexadecimal 693C, octal 64474).
What is the square root of 26940?
About 164.1341, exactly 2√6735.
Is 26940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26940?
It is a composite number with 24 divisors.